The vertices of a polygon are given. Find the coordinates of the vertices of the image after the specified translation.

P(–5, 4), Q(1, 4), R(1, 1);
(x, y) —--> (x + 1, y – 5)

P’ (, ) Q’ (,) R’ (,)

Answers

Answer 1

Answer:

The coordinates of the images are P' (-4, -1), Q' (2, -1), R' (2, -4)

Step-by-step explanation:

If the point (x, y) is translated horizontally h units and vertically k units, then its image is (x + h, y + k) and the rule of translation is T (x + h, y + k)

∵ The vertices of the polygons are P (-5, 4), Q (1, 4), R (1, 1)

∵ The rule of translation is (x, y) → (x + 1, y - 5)

→ That means add each x-coordinate by 1 and subtract each

y-coordinate by 5

∴ P' = (-5 + 1, 4 - 5)

∴ P' = (-4, -1)

∴ Q' = (1 + 1, 4 - 5)

∴ Q' = (2, -1)

∴ R' = (1 + 1, 1 - 5)

∴ R' = (2, -4)

∴ The coordinates of the images are P' (-4, -1), Q' (2, -1), R' (2, -4)

Related Questions

Bob and Nina make dog leashes. Bob can make 7 leashes in 2 hours and Nina can make 4 leashes in 1 hour.

Enter an equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the first response box.

Enter the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the second response box.

Answers

Answer:

8 hours

Step-by-step explanation:

!:!

Which expression is a factor of 21 x2 + 13 x-20

Answers

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

I think this is the answer

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant -21 • 20 = -420

Step-2 : Find two factors of -420 whose sum equals the coefficient of the middle term, which is 13 .

-420 + 1 = -419

-210 + 2 = -208

-140 + 3 = -137

-105 + 4 = -101

-84 + 5 = -79

-70 + 6 = -64

-60 + 7 = -53

-42 + 10 = -32

-35 + 12 = -23

-30 + 14 = -16

-28 + 15 = -13

-21 + 20 = -1

-20 + 21 = 1

-15 + 28 = 13 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 28

-21x2 - 15x + 28x + 20

Step-4 : Add up the first 2 terms, pulling out like factors :

-3x • (7x+5)

Add up the last 2 terms, pulling out common factors :

4 • (7x+5)

Step-5 : Add up the four terms of step 4 :

(-3x+4) • (7x+5)

The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points)

Answers

Answer:

They have the same side lengths/angles except one is smaller than the other

Step-by-step explanation:

the smaller one is a "mini" of the larger one. a exact copy

The dilation is solved and the scale factor of line is A'B' = 3AB

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the scale factor of the dilation be represented as k

Now , the scale factor k = 3

So , the ratio of the corresponding sides is given by

A'B' / AB = 3

Multiply by AB on both sides , we get

A'B' = 3AB

Hence , the dilation is simplified as A'B' = 3AB

To learn more about dilation click :

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BRAINLIEST IF YOU HELP
Evaluate this expression: (6.4 × 10^3) ÷ (3.2 × 10^2)
Express your answer in scientific notation.
A. 2 × 10^1
B. 2 × 10^2
C. 2 × 10^5
D. 2 × 10^6

Answers

A. i put my work in the photo in case you need it

please answer this question. The price of a computer was reduced from $400 to $300. By what percentage was the price of the computer reduced?

Answers

Answer:it was reduced by 25%

Source: trust me bro

Is the relationship a function yes or no?

Answers

Answer:

no because 3x nothing equals 14 and 4x nothing equals 18

hope this helps plz mark brainliest

Step-by-step explanation:

A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?

Answers

Answer:

Sorry , I might be wrong : 35664

Step-by-step explanation:

So, first, we can find 33% of 53,200

That is 17,556

Then, we can subtract 17556 from 53,200

We get 35664

thanks guys i only got one question wrong

Answers

Answer:

Let me help you next time! congrats tho

Answer:

on what field of math?

Step-by-step explanation:

Congrats! Was it a big assignment?

Vivienne has 5 pets, all of which are either birds or cats. Her pets have a total of 14 legs. Choose the system of equations that can be solved to find the number of birds that Vivienne owns, b, and the number of cats that Vivienne owns, e.

Answers

Answer:

the system of equations is

b + e = 5

2b + 4e = 14

and the solved system gets you to the conclusion that vivienne has 3 birds and 2 cats

Step-by-step explanation:

b is the amount of birds and e is the amount of cats so adding them together would give you 5, the total amount of pets. so this is the first equation:

b + e = 5

next, we know that birds have two legs and cats have 4, so those respective numbers times the amount of each animal will give you 14, the amount of legs. so the equation would be:

2b + 4e = 14

so the system of equations would be

b + e = 5

2b + 4e = 14

i wasnt sure if you also needed to solve it but here it is solved

b = 5 - e

2(5 - e) + 4e = 14

10 - 2e + 4e = 14

10 + 2e = 14

2e = 4

e = 2

so using subsitution you would get b by using the value of e in the first equation.

b = 5 - e

b = 5 - 2

b = 3

so vivienne has 3 birds and 2 cats.

The required number of birds and cats Vivienne have is 3 and 2 respectively.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Vivienne has 5 pets, all of which are either birds or cats.
Let the number of birds be x, and the number of cats be y,
x + y = 5, - - - - -(1)

Now, Her pets have a total of 14 legs. Since a bird has 2 legs and a cat has 4 lags
According to the question,
2x + 4y = 14 - - - - -(2)

Solving equations 1 and 2,
2x + 4 (5 -x) = 14
2x + 20 - 4x = 14
2x = 6
x = 3

Now,
3 + y = 5
y = 2

Thus, the required number of birds and cats Vivienne have is 3 and 2 respectively.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

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Brenda’s brother earns $12 per hour at a store. The store offers him a 5% raise per hour. After the raise, how much will Brenda’s brother earn?

Answers

12 * 0.05 = 0.6
12 + 0.6 = $12.60
He will earn $12.60 per hour

Answer:

12 * 0.05 = 0.6

He will make $12.06 per hour

2. The measure of an angle is 114°. What is the measure of
its supplement?

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 66\°}[/tex]

Step-by-step explanation:

Supplementary angles add up to 180°.

So,

The measure of the angle of supplement of 114° is:

=> 180° - 114° = 66°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

how many solutions does the following system have?
7x+5y=4; -21x-15y=-12

a)infinitely many solutions
b)one solution
c)two solutions
d)no solutions

Answers

Answer:

Step-by-step explanation:

we can observe that the second equation is the product of the first equation and -3

there will be infinitely many solutions

i need this ASAP!!!!
Simplify. (23)2
Enter your answer, in simplest form, in the boxes.
$$

Answers

Answer:

23/2 is already in the simplest form. It can be written as 11.5 in decimal form

Step-by-step explanation:

23 2 = 22 2 + 1 2 = 11 + 1 2 = 11 1 2

This fraction cannot be simplified any further because there is no common divisor for 1 and 2 other than 1

The simplified expression of (23)2 is 46

How to simplify the expression

From the question, we have the following parameters that can be used in our computation:

(23)2

Express as products

So, we have

(23)2 = (23) * 2

Evaluate the products of 23 and 2

(23)2 = 46

Hence, the solution is 46

Answers

Answer:

Angle C = 41°

Step-by-step explanation:

Given:

Angle C = (3x + 11) degree

Angle T = (3x + 11) degree

Angle A = (9x + 8) degree

Find:

Angle C

Computation:

Using angle sum property

(3x + 11) + (3x + 11) + (9x + 8) = 180

15x + 30 = 180

x = 10

So,

Angle C = (3x + 11) degree

Angle C = 3(10) + 11

Angle C = 41°

Please help..
Solve for x and y rounded to the nearest hundredth.

x = 5.33 and y = 4.67
x = 4.67 and y = 5.33
x = 10.5 and y = 12
x = 3.42 and y = 3

Answers

Step-by-step explanation:

A is answer

Francis records the price of a washer-and-dryer pair each week for 5 weeks. The table shows his data.
1
3
4
5
Week
Price $740.79 752 49 $675.49 $580.99 $694.99
What is the rate of change in the price of the washer-and-dryer pair between Week 1 and Week 57
$11.45
week
59. 16/week
0 59. 16/week
$11.45
week

Answers

Answer:

The answer is A. -11.45

Step-by-step explanation:

By using expression for the rate of change in prices between week 1 and week 5 will be -$11.45.

Rate of change is given by the expression,

Rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

= [tex]\frac{\text{Change in price}}{\text{Change in weeks}}[/tex]

By using the given expression, rate of change of prices between week 1 and week 5 will be,

Rate of change = [tex]\frac{694.99-740.79}{5-1}[/tex]

= [tex]-\frac{45.8}{4}[/tex]

= [tex]-11.45[/tex]

Therefore, rate of change in the price of washer and dryer pair between week 1 and week 5 will be -$11.45 per week.

Learn more,

https://brainly.com/question/20434275

How do you get this annoying anime kid shut up?
Please help he annoying me, i think i do what you guys said on my last 2 questions.

Answers

Answer:

Insult his favorite anime lol. Works like a charm.

Step-by-step explanation:

Answer:

watch anime with them! and tell them they have taste cause same >_<

Does anyone have any drink recommendations for Starbucks???
Answer this math problem tho
Me and a friend go to Starbucks I order a venti caramel frap and my friend orders the same. Both of our drinks plus 4 cake pops cost $17.75. I have $40 in cash how much do I have left after our order has been paid for???

Answers

Answer:

hmm try pumpkin spice fraptinao *sry ik i spelled it wrong

Step-by-step explanation:

jenny is five years older than chris little can be extracted from this. however we fud that a decade ago her age was twice his, therefore all we know is that get through this door a number made with digits four multaply jens age by ten to the two to finish it you must add chris's digits to the end of the number

Answers

answer:

2015

hope this helpsss

cqn someone help me Graph y = -3.2 + 7.

Answers

Answer: math is 10.2

At a fruit stand there are 12 strawberries, 30 blueberries, 16 apples , and 14 bananas. Which ratio expresses strawberries to all fruit.

Answers

It would be 12:72. Add all the numbers together to get the second number, and the first number would be 12, or the number of strawberries.

Ben needs to replace two sides of his fence. Once side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?

Answers

Answer:

696 39/100

Step-by-step explanation:

a) Estimate the value of 50.75 x 0.18

Answers

Answer:9.135

Step-by-step explanation: I had have this answer

Answer:

9.135

Step-by-step explanation:

can you please help me

Answers

Answer:

Step-by-step explanation:

the dilalation from triangle ART to triangle EFG is 2 1/5:

12/5

2 1/5

use the scale factor to find m

8 * 2 1/5

19 2/10

side GF is equal to side EG so m p 19 2/10

Answer:

finally :)

Step-by-step explanation:

have a great day

Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.
The total change in her account balance after the withdrawals is

Answers

Answer:

$80

Step-by-step explanation:

20 on 4 days. 20*4 or 80.

Hope this helps plz hit the crown :D

helpppppp for brainliest

Answers

Answer:

508 sheets /4 shelters = 127 sheets per shelter.

Assuming no denominator equals zero, which expression is equivalent to the given expression?
r-5/9r/5-r/3r^2
A.
-3/r
B.
r/3
C.
-r/3
D.
r-5/5-3r

Answers

Answer: C. -r/3

Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.

1. If m=1/2 and b=-4, what is the equation of the line?

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

y=1/2x-4 because m is the slope

Jamie deposits $627 into a savings account. The account has an interest rate of 3.5%, compounded quarterly

Answers

Answer:

is this all the question? Im sorry I don't see the rest

Step-by-step explanation:

Hahahahaha umm I need help thankKss

Answers

Answer:

Step-by-step explanation:

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The vertices of a polygon are given. Find the coordinates of the vertices of the image after the specified translation. P(–5, 4), Q(1, 4), R(1, 1); (x, y) —--> (x + 1, y – 5) P’ (__, __) Q’ (__,__) R’ (__,__)

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The vertices of a polygon are given. Find the coordinates of the vertices of the image after the specified translation.

P(–5, 4), Q(1, 4), R(1, 1);
(x, y) —--> (x + 1, y – 5)

P’ (, ) Q’ (,) R’ (,)